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Finding the Fourth Proportional to 974.18, 1,459.38 and 511.40

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Solution

The fourth proportional to 974.18, 1,459.38 and 511.40 is: 766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,459.38 = 511.40 : x
  2. Step 2: Convert to fraction form
    974.18/1,459.38 = 511.40/x
  3. Step 3: Cross multiply
    974.18x = 1,459.38 × 511.40
  4. Step 4: Simplify right side
    974.18x = 746,326.93
  5. Step 5: Solve for x
    x = 746,326.93/974.18
  6. Step 6: Final answer
    x = 766.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.